Log-convexity and log-concavity for series in gamma ratios and applications

DOI10.1016/j.jmaa.2013.04.061zbMath1309.33005arXiv1211.2882OpenAlexW2056545619MaRDI QIDQ2257524

Dmitriĭ Borisovich Karp, Sergeĭ Ivanovich Kalmykov

Publication date: 25 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2882

zbMATH Keywords

gamma functiongeneralized hypergeometric functionKummer function\(q\)-log-concavityTurán inequalityWright log-concavity

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (13)

Representations and inequalities for generalized hypergeometric functions ⋮ Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions ⋮ Topics in Special Functions III ⋮ New identities for a sum of products of the Kummer functions ⋮ Functional inequalities for the Mittag-Leffler functions ⋮ Inequalities for series in \(q\)-shifted factorials and \(q\)-gamma functions ⋮ The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13--19, 2022 ⋮ Log-concavity and Turán-type inequalities for the generalized hypergeometric function ⋮ Efficient approximations of the gamma function and further properties ⋮ Logarithmic concavity of series in gamma ratios ⋮ Fast engset computation ⋮ Inequalities for some basic hypergeometric functions ⋮ Normalized incomplete beta function: log-concavity in parameters and other properties

Cites Work

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